11000066000000 has 448 divisors, whose sum is σ = 34152031598400. Its totient is φ = 3428544000000.

The previous prime is 11000065999991. The next prime is 11000066000023. The reversal of 11000066000000 is 66000011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153964286 + ... + 154035714.

Almost surely, 2^{11000066000000} is an apocalyptic number.

11000066000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000066000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076015799200).

11000066000000 is an abundant number, since it is smaller than the sum of its proper divisors (23151965598400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000066000000 is an frugal number, since it uses more digits than its factorization.

11000066000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71491 (or 71454 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The spelling of 11000066000000 in words is "eleven trillion, sixty-six million", and thus it is an aban number and an uban number.